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 multiplying 2 matrices of complex numbers		  New Topic  Reply to Topic
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bgelloz

Japan
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Posted - 07/03/2006 :  06:18:22 AM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
Origin Version (Select Help-->About Origin): 7.5
Operating System: Win XP

- I would like to know if matrix defined and used only in the code can handle complex numbers. It seems it can.
- I want to multiply 2 matrices (with complex numbers) in the classic way of multiplying matrices. Should I just do for example Mat=Mat1*Mat2? I ask because I have strange results.
Thanks.

Deanna

China
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Posted - 07/03/2006 :  9:38:46 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
1. Matrix can handle complex numbers.
For example, you can define a complex matrix like this:
matrix<complex> mComplex = { 1+2i, 3+4i };

2. To multiply 2 matrices, you may use a member function of MatrixBase class--DotMultiply().
The following code shows how to multiply two complex matrix with this function.

void test4()
{
	matrix<complex> m1 = { 1+2i, 3+4i };
	matrix<complex> m2 = { {4+2i}, {5+4i} };
	m2.DotMultiply( m1 );
	
	complex cc=m2[0][0];
	out_double("Real part = ", cc.m_re);
	out_double("Imaginary part = ", cc.m_im);
	
	cc=m2[0][1];
	out_double("Real part = ", cc.m_re);
	out_double("Imaginary part = ", cc.m_im);
	
}


Deanna
OriginLab GZ Office
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bgelloz

Japan
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Posted - 07/05/2006 :  05:15:12 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Thank you,
I have found my error: I was not using the "<complex>" after "matrix" in the function definition and imaginary parts were ignored in the result.
matrix<complex> GetMatrix(double delta,double etha)
{
matrix<complex> mM(2,2);
complex a00(cos(delta),0);
mM[0][0]=a00; //(cos(delta),0);
complex a01(0,(sin(delta)/etha));
mM[0][1]=a01; //(0,sin(delta)/etha);
complex a10(0,etha*sin(delta));
mM[1][0]=a10; //(0,etha*sin(delta));
complex a11(cos(delta),0);
mM[1][1]=a11; //(cos(delta),0);
return mM;
}
I could not figure out quickly how to assign directly the complex values to the matrix, so I used the above work around. I would appreciate a way to assign directly complex numbers to the 2X2 matrix.
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easwar

USA
1965 Posts
Posted - 07/05/2006 :  12:16:58 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi bgelloz,

You can assign complex values to complex variables, including individual cells of a complex matrix, using the syntax:
complex_var = real_value + 1i * imaginary_value;

Also you can print out complex values using out_complex function.

So you can rewrite your code such as:


	matrix<complex> mM(2,2); 
	mM[0][0] = cos(delta);
	mM[0][1] = 1i * sin(delta)/etha;
	mM[1][0] = 1i * etha * sin(delta);
	mM[1][1] = cos(delta);
	// or in this case
	// mM[1][1] = mM[0][0];
	
	out_complex("mM[0][0]=", mM[0][0]);
	out_complex("mM[0][1]=", mM[0][1]);
	out_complex("mM[1][0]=", mM[1][0]);
	out_complex("mM[1][1]=", mM[1][1]);



Easwar
OriginLab
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